diff --git a/misc/cgo/testcshared/cshared_test.go b/misc/cgo/testcshared/cshared_test.go
index 194dec9..cb95153 100644
--- a/misc/cgo/testcshared/cshared_test.go
+++ b/misc/cgo/testcshared/cshared_test.go
@@ -130,8 +130,6 @@
 	defer os.RemoveAll(GOPATH)
 	os.Setenv("GOPATH", GOPATH)
 
-	// Copy testdata into GOPATH/src/testarchive, along with a go.mod file
-	// declaring the same path.
 	modRoot := filepath.Join(GOPATH, "src", "testcshared")
 	if err := overlayDir(modRoot, "testdata"); err != nil {
 		log.Panic(err)
@@ -257,14 +255,38 @@
 }
 
 func createHeaders() error {
-	args := []string{"go", "install", "-i", "-buildmode=c-shared",
-		"-installsuffix", "testcshared", "./libgo"}
+	// The 'cgo' command generates a number of additional artifacts,
+	// but we're only interested in the header.
+	// Shunt the rest of the outputs to a temporary directory.
+	objDir, err := ioutil.TempDir("", "testcshared_obj")
+	if err != nil {
+		return err
+	}
+	defer os.RemoveAll(objDir)
+
+	// Generate a C header file for p, which is a non-main dependency
+	// of main package libgo.
+	//
+	// TODO(golang.org/issue/35715): This should be simpler.
+	args := []string{"go", "tool", "cgo",
+		"-objdir", objDir,
+		"-exportheader", "p.h",
+		filepath.Join(".", "p", "p.go")}
 	cmd := exec.Command(args[0], args[1:]...)
 	out, err := cmd.CombinedOutput()
 	if err != nil {
 		return fmt.Errorf("command failed: %v\n%v\n%s\n", args, err, out)
 	}
 
+	// Generate a C header file for libgo itself.
+	args = []string{"go", "install", "-buildmode=c-shared",
+		"-installsuffix", "testcshared", "./libgo"}
+	cmd = exec.Command(args[0], args[1:]...)
+	out, err = cmd.CombinedOutput()
+	if err != nil {
+		return fmt.Errorf("command failed: %v\n%v\n%s\n", args, err, out)
+	}
+
 	args = []string{"go", "build", "-buildmode=c-shared",
 		"-installsuffix", "testcshared",
 		"-o", libgoname,
@@ -522,7 +544,7 @@
 	}
 }
 
-// Test that installing a second time recreates the header files.
+// Test that installing a second time recreates the header file.
 func TestCachedInstall(t *testing.T) {
 	tmpdir, err := ioutil.TempDir("", "cshared")
 	if err != nil {
@@ -536,7 +558,7 @@
 
 	env := append(os.Environ(), "GOPATH="+tmpdir, "GOBIN="+filepath.Join(tmpdir, "bin"))
 
-	buildcmd := []string{"go", "install", "-x", "-i", "-buildmode=c-shared", "-installsuffix", "testcshared", "./libgo"}
+	buildcmd := []string{"go", "install", "-x", "-buildmode=c-shared", "-installsuffix", "testcshared", "./libgo"}
 
 	cmd := exec.Command(buildcmd[0], buildcmd[1:]...)
 	cmd.Dir = filepath.Join(tmpdir, "src", "testcshared")
@@ -577,16 +599,10 @@
 	if libgoh == "" {
 		t.Fatal("libgo.h not installed")
 	}
-	if ph == "" {
-		t.Fatal("p.h not installed")
-	}
 
 	if err := os.Remove(libgoh); err != nil {
 		t.Fatal(err)
 	}
-	if err := os.Remove(ph); err != nil {
-		t.Fatal(err)
-	}
 
 	cmd = exec.Command(buildcmd[0], buildcmd[1:]...)
 	cmd.Dir = filepath.Join(tmpdir, "src", "testcshared")
@@ -601,9 +617,6 @@
 	if _, err := os.Stat(libgoh); err != nil {
 		t.Errorf("libgo.h not installed in second run: %v", err)
 	}
-	if _, err := os.Stat(ph); err != nil {
-		t.Errorf("p.h not installed in second run: %v", err)
-	}
 }
 
 // copyFile copies src to dst.